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For the following problems, find the expected frequencies of each cell in the table, perform a chi-square test for independence, and comment on the relationship between the variables. Assume the variables are independent.
a. The contingency table shows the results of a random sample of college professors and the years of teaching at the university level.
Gender
< 1 Year
1 - 3 Years
4 - 7 Years
8 - 15 Years
Over 15 Years
Male
35
47
58
135
150
Female
53
68
128
97
54
b. The contingency table shows the results of a random sample of individuals by gender and gas mileage of vehicle owned.
1 - 15 MPG
16 - 21 MPG
22 - 28 MPG
29 - 35 MPG
Over 35 MPG
13
86
118
87
24
11
45
134
Find the area of the region bounded by the parabola y = 5x^2, the tangent line to this parabola at (4, 80), and the x-axis.
Find the area under the standard normal curve and find the proportion of male college students whose height
the probability of tails on the next toss is greater that the probability of heads. What is your reply?
Suppose sunshine figures are independent identically distributed continuous random variables. Independent identically distributed continuous random variables
The bucket is filled with 38 lb of water and is pulled up at a rate of 5 ft/sec, but water leaks out of the bucket at a rate of 0.4 lb/sec. Find the work done in pulling the bucket to the top of the well.
Find the work done in stretching the spring. How much work is done stretching the spring from 7.5 in to 9 in?
a baseball is hit 4 ft above the ground with an initial velocity of 80 ft/sec at an angle of (pi/3) with respect to the horizontal. How high did the ball go?
Your boss has asked you to put together a report showing the relationship between these two variables. What could you present and why?
Two trains leave stations 448 miles apart at the same time and travel toward each other. One train travels at 85 miles per hour while the other travels at 75 miles per hour. How long will it take for the two trains to meet?
How are the vertex and axis of symmetry related on a parabola? Please explain with the help of an example.
The decay of 276 mg of an isotope is given by A(t)=276e -0.023t(to the power) where t is time in years. Find the amount left after 5 years.
Prove the proposition. Let X be a metric space and Y be a submetric space of X. If Y is complete, then Y is closed in X. Conversely, if Y is closed in X and X is complete, then Y is complete.
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